In: Statistics and Probability
A cafeteria offers a Combo which consists of a choice of sandwich, a cookie and a drink. If there are 9 different sandwiches, six different cookies and and four different drinks available, how many different Combos are possible?
Solution:
Given: there are 9 different sandwiches, six different cookies and and four different drinks available.
We have to find number of ways of different Combos that are possible.
A Combo which consists of a choice of sandwich, a cookie and a drink.
So to select a combo, we need to select one from each.
Thus we need to use multiplication principle of counting.
If there L ways of first procedure , M ways of second procedure and N ways of third procedure
then total number of ways of performing all three procedures = L * M * N
Thus
Total number of ways of different Combos = 9 * 6 * 4
Total number of ways of different Combos = 216